What is factor (x^2+5x)^2+7(x^2+5x)+6 ?

The solution to factor (x^2+5x)^2+7(x^2+5x)+6 is (x^2+5x+1)(x+2)(x+3)

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factor (x^2+5x)^2+7(x^2+5x)+6

factor

(x^{2} + 5 x)^{2} + 7 (x^{2} + 5 x) + 6

(x^{2} + 5 x + 1) (x + 2) (x + 3)

Solution steps

(x^{2} + 5 x)^{2} + 7 (x^{2} + 5 x) + 6

Break the expression into groups

= ((x^{2} + 5 x)^{2} + (x^{2} + 5 x)) + (6 (x^{2} + 5 x) + 6)

Factor out

(x^{2} + 5 x)

from

(x^{2} + 5 x)^{2} + (x^{2} + 5 x) : (x^{2} + 5 x) ((x^{2} + 5 x) + 1)

Factor out

6

from

6 (x^{2} + 5 x) + 6 : 6 ((x^{2} + 5 x) + 1)

= (x^{2} + 5 x) ((x^{2} + 5 x) + 1) + 6 ((x^{2} + 5 x) + 1)

Factor out common term

(x^{2} + 5 x) + 1

= ((x^{2} + 5 x) + 1) ((x^{2} + 5 x) + 6)

Refine

= (x^{2} + 5 x + 1) (x^{2} + 5 x + 6)

Factor

(x^{2} + 5 x + 1) (x^{2} + 5 x + 6) : (x + 2) (x + 3) (x^{2} + 5 x + 1)

= (x^{2} + 5 x + 1) (x^{2} + 5 x + 6)

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

= (x^{2} + 5 x + 1) (x + 2) (x + 3)

- 8 x^{2} = 0

\frac{\frac{2 π}{4}}{2}

7 x + 3 - 4 x < 11 x + 27

9 y - 7 \geq 11

x^{2} - x - 1 = 0

What is factor (x^2+5x)^2+7(x^2+5x)+6 ?
The solution to factor (x^2+5x)^2+7(x^2+5x)+6 is (x^2+5x+1)(x+2)(x+3)